Error Function Mathematica
Erf z is the integral of the gaussian distribution given by.
Error function mathematica. I tried playing with setsystemoptions catchmachineunderflow false which however results in getting 0. The first few values extended by the definition for and 0 are given by. Erf z 0 z 1 is given by. Then i tried defining the function as exp log z 2 log erfc i z but this turns out to not be any faster than with automatic switching so it seems hard to speed this up except as daniel lichtblau suggests acl jul 24 11 at 23 46.
Erf z is an entire function of z with no branch cut discontinuities. As of version 12 errorlistplot has been superseded by listplot. 341 define without the leading factor of. For certain special arguments erf automatically evaluates to exact values.
Revolutionary knowledge based programming language. The preeminent environment for any technical workflows. Mathematical function suitable for both symbolic and numerical manipulation. Note that some authors e g whittaker and watson 1990 p.
Abramowitz and stegun 1972 p. 299 where is a confluent hypergeometric function of the first kind and is a gamma function. Erf satisfies the identities.